Finite Group Databasebeta

← #12272293

Subgroups — #12272293

Order 1280.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65999C211yesmaximal, characteristic, complemented
2C2×#65927C211yesmaximal, characteristic, complemented
3C5×#2534C211yesmaximal, characteristic, complemented
4#10614578C211yesmaximal, characteristic, complemented
5#10614318C211yesmaximal, characteristic, complemented
6#10614111C211yesmaximal, characteristic, complemented
7C4×D4×Dic5C211yesmaximal, characteristic, complemented
8#10613846C211yesmaximal, characteristic, complemented
9C2×#65240C211yesmaximal, characteristic, complemented
10#10609076C211yesmaximal, characteristic, complemented
11#10609075C211yesmaximal, characteristic, complemented
12#10609040C211yesmaximal, characteristic, complemented
13#10609026C211yesmaximal, characteristic, complemented
14#10608729C211yesmaximal, characteristic, complemented
15#10608725C211yesmaximal, characteristic, complemented
16#10608671C211yesmaximal, characteristic, complemented
17#10608648C211yesmaximal, characteristic, complemented
18#10607552C211yesmaximal, characteristic, complemented
19#10607551C211yesmaximal, characteristic, complemented
20#10607334C211yesmaximal, characteristic, complemented
21#10607332C211yesmaximal, characteristic, complemented
22#10606603C211yesmaximal, characteristic, complemented
23#10606600C211yesmaximal, characteristic, complemented
24#10606492C211yesmaximal, characteristic, complemented
25#10606490C211yesmaximal, characteristic, complemented
26#10605807C211yesmaximal, characteristic, complemented
27#10605787C211yesmaximal, characteristic, complemented
28#10605669C211yesmaximal, characteristic, complemented
29#10605596C211yesmaximal, characteristic, complemented
30#10605560C211yesmaximal, characteristic, complemented
31#10605552C211yesmaximal, characteristic, complemented
32C2×C5×#123C2211yescharacteristic
33C2×C5×#120C2211yescharacteristic
34C2×C4×C5×D4C2211yescharacteristic
35C22×C5×C22⋊C4C2211yescharacteristic
36C2×#4099C2211yescharacteristic
37C2×#4099C2211yescharacteristic
38C22×C22⋊Dic5C2211yescharacteristic
39C22×C22⋊Dic5C2211yescharacteristic
40C2×#4085C2211yescharacteristic
41C2×#4085C2211yescharacteristic
42C2×#4085C2211yescharacteristic
43C2×#4085C2211yescharacteristic
44C2×#4084C2211yescharacteristic
45C2×#4082C2211yescharacteristic
46C2×#4081C2211yescharacteristic
47C2×D4×Dic5C2211yescharacteristic
48C2×D4×Dic5C2211yescharacteristic
49C2×#4076C2211yescharacteristic
50C2×#4075C2211yescharacteristic
51C2×#4075C2211yescharacteristic
52C22×C4⋊Dic5C2211yescharacteristic
53C22×C4×Dic5C2211yescharacteristic
54C22×C4×Dic5C2211yescharacteristic, complemented
55#65999—28no—
56#65927—28no—
57C2×#4044C2211yescharacteristic, complemented
58C2×#4043C2211yescharacteristic, complemented
59C2×#4039C2211yescharacteristic, complemented
60C2×#4036C2211yescharacteristic, complemented
61C2×#4035C2211yescharacteristic, complemented
62C2×#4032C2211yescharacteristic, complemented
63C2×#4031C2211yescharacteristic
64C2×#4031C2211yescharacteristic
65C2×#4029C2211yescharacteristic
66C2×#4029C2211yescharacteristic, complemented
67C2×#4027C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×#4025C2211yescharacteristic
70C2×#4025C2211yescharacteristic
71C2×#4025C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic
73C2×#4024C2211yescharacteristic
74C2×#4024C2211yescharacteristic, complemented
75C5×#396C2211yescharacteristic
76C5×#396C2211yescharacteristic
77C5×#394C2211yescharacteristic
78C5×#394C2211yescharacteristic
79C5×#388C2211yescharacteristic
80C5×#388C2211yescharacteristic
81C5×#386C2211yescharacteristic
82C5×#386C2211yescharacteristic
83C5×#381C2211yescharacteristic
84C5×#380C2211yescharacteristic
85C5×#379C2211yescharacteristic
86#65512C2211yescharacteristic
87#65511C2211yescharacteristic
88#65509C2211yescharacteristic
89#65502C2211yescharacteristic, complemented
90#65502C2211yescharacteristic, complemented
91C4×C22⋊Dic5C2211yescharacteristic
92C4×C22⋊Dic5C2211yescharacteristic, complemented
93C2×#3963C2211yescharacteristic
94C2×#3963C2211yescharacteristic
95#65283C2211yescharacteristic, complemented
96#65280C2211yescharacteristic, complemented
97#65279C2211yescharacteristic, complemented
98#65277C2211yescharacteristic, complemented
99#65273C2211yescharacteristic, complemented
100#65273C2211yescharacteristic, complemented
101#65273C2211yescharacteristic, complemented
102#65272C2211yescharacteristic, complemented
103#65268C2211yescharacteristic, complemented
104#65268C2211yescharacteristic, complemented
105C4⋊C4×Dic5C2211yescharacteristic, complemented
106C4⋊C4×Dic5C2211yescharacteristic, complemented
107C4⋊C4×Dic5C2211yescharacteristic, complemented
108#65262C2211yescharacteristic, complemented
109#65261C2211yescharacteristic, complemented
110#65250C2211yescharacteristic
111#65250C2211yescharacteristic
112#65249C2211yescharacteristic
113#65249C2211yescharacteristic
114#65249C2211yescharacteristic, complemented
115#65248C2211yescharacteristic
116#65248C2211yescharacteristic, complemented
117#65247C2211yescharacteristic
118#65247C2211yescharacteristic
119#65247C2211yescharacteristic
120#65247C2211yescharacteristic
121#65247C2211yescharacteristic, complemented
122#65246C2211yescharacteristic
123#65246C2211yescharacteristic
124#65246C2211yescharacteristic
125#65246C2211yescharacteristic
126#65246C2211yescharacteristic
127#65246C2211yescharacteristic
128#65246C2211yescharacteristic
129#65246C2211yescharacteristic
130#65245C2211yescharacteristic
131#65245C2211yescharacteristic
132#65242C2211yescharacteristic, complemented
133#65241C2211yescharacteristic
134#65241C2211yescharacteristic, complemented
135#65240C2211yescharacteristic
136#65240C2211yescharacteristic
137#65240C2211yescharacteristic
138#65240C2211yescharacteristic
139#65240C2211yescharacteristic
140#65240C2211yescharacteristic
141#65240C2211yescharacteristic
142#65240C2211yescharacteristic
143#65240C2211yescharacteristic
144#65238C2211yescharacteristic
145#65238C2211yescharacteristic
146#65237C2211yescharacteristic
147#65236C2211yescharacteristic
148#65235C2211yescharacteristic
149#65235C2211yescharacteristic
150#65234C2211yescharacteristic
151#65234C2211yescharacteristic
152#65234C2211yescharacteristic
153#65233C2211yescharacteristic
154#65233C2211yescharacteristic
155#65233C2211yescharacteristic
156#65231C2211yescharacteristic, complemented
157C22⋊C4×Dic5C2211yescharacteristic
158C22⋊C4×Dic5C2211yescharacteristic
159C22⋊C4×Dic5C2211yescharacteristic, complemented
160C22⋊C4×Dic5C2211yescharacteristic, complemented
161#65229C2211yescharacteristic, complemented
162#65229C2211yescharacteristic, complemented
163C4×C4⋊Dic5C2211yescharacteristic, complemented
164C42×Dic5C2211yescharacteristic, complemented
165#64964C2211yescharacteristic, complemented
166#64962C2211yescharacteristic, complemented
167#64959C2211yescharacteristic, complemented
168#64959C2211yescharacteristic, complemented
169#64959C2211yescharacteristic, complemented
170#64958C2211yescharacteristic, complemented
171#64958C2211yescharacteristic, complemented
172#64958C2211yescharacteristic, complemented
173#64957C2211yescharacteristic, complemented
174#64957C2211yescharacteristic, complemented
175#64955C2211yescharacteristic, complemented
176#64955C2211yescharacteristic, complemented
177#64949C2211yescharacteristic, complemented
178#64947C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64944C2211yescharacteristic, complemented
181#64939C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64936C2211yescharacteristic, complemented
184#64936C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35009—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C23×Dic5C2311yescharacteristic
210C23×Dic5C2311yescharacteristic
211C22×D20C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C5×#123—24no—
217C5×#120—24no—
218C4×C5×D4—24no—
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4—24no—
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C42×C5C2311yescharacteristic
242#4099—24no—
243#4099—24no—
244C2×C22⋊Dic5—24no—
245C2×C22⋊Dic5—42no—
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264#4085—24no—
265#4085—24no—
266#4085—24no—
267#4085—42no—
268#4084—24no—
269#4082—24no—
270#4081—24no—
271D4×Dic5—24no—
272D4×Dic5D418yescomplemented
273#4076—24no—
274#4075—24no—
275#4075—24no—
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×C4⋊Dic5—24no—
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×C4×Dic5—42no—
321C2×C4×Dic5—42no—
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336#4044—24no—
337#4043—24no—
338#4039—42no—
339#4036—24no—
340#4035—24no—
341#4032—24no—
342#4031—24no—
343#4031—42no—
344#4029—24no—
345#4029—24no—
346#4027—24no—
347#4027—24no—
348#4025—24no—
349#4025—24no—
350#4025—24no—
351#4024—24no—
352#4024—24no—
353#4024—24no—
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386C2×#539—51no—
387C2×#538—51no—
388#2861—51no—
389#2860—51no—
390#2854—51no—
391#2850—51no—
392#2664—51no—
393#2663—51no—
394#2662—51no—
395#2661—51no—
396#2560—51no—
397#2559—51no—
398#2558—51no—
399#2557—51no—
400#2549—51no—
401#2543—51no—
402#2539—51no—
403#2534D511yescharacteristic, complemented
404#2521—51no—
405#2519—51no—
406#2488—51no—
407#2472—51no—
408#2464—51no—
409#2461—51no—
410#2425—51no—
411#2424—51no—
412#2322—51no—
413#2321—51no—
414C4×#121—51no—
415C2×#388—51no—
416C42×D4—51no—
417C24×C5—22no—
418C24×C5—22no—
419C24×C5—22no—
420C24×C5—41no—
421C24×C5—41no—
422C24×C5—41no—
423C24×C5—41no—
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C24×C5C2411yescharacteristic
427C24×C5C2411yescharacteristic
428C23×D5C2411yescharacteristic
429C23×D5C2411yescharacteristic
430C2×C5×D4—22no—
431C2×C5×D4—22no—
432C2×C5×D4—22no—
433C2×C5×D4—22no—
434C2×C5×D4—41no—
435C2×C5×D4—41no—
436C2×C5×D4—41no—
437C2×C5×D4—41no—
438C2×C5×D4C2×D414yes—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5—22no—
442C22×C4×C5—22no—
443C22×C4×C5—41no—
444C22×C4×C5—41no—
445C22×C4×C5—41no—
446C22×C4×C5—41no—
447C22×C4×C5#4114yes—
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C2×C22⋊D5—22no—
460C2×C22⋊D5—22no—
461C2×C22⋊D5—22no—
462C2×C22⋊D5—22no—
463C2×C22⋊D5—22no—
464C2×C22⋊D5—22no—
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C2×C22⋊D5—22no—
470C2×C22⋊D5—22no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5—41no—
477C2×C22⋊D5—41no—
478C2×C22⋊D5—41no—
479C2×C22⋊D5—41no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5—41no—
483C22×Dic5—22no—
484C22×Dic5—22no—
485C22×Dic5—22no—
486C22×Dic5—22no—
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—41no—
490C22×Dic5—41no—
491C22×Dic5—41no—
492C22×Dic5—41no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5—41no—
496C22×Dic5—41no—
497C22×Dic5—41no—
498C22×Dic5—41no—
499C22×Dic5C2×D414yes—
500C22×Dic5C2×D414yes—
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C2×D20—22no—
516C2×D20—41no—
517C2×D20—41no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—41no—
521C2×C4×D5—41no—
522C2×C4×D5—41no—
523C2×C4×D5—41no—
524C2×Dic10—22no—
525C2×Dic10—22no—
526C2×Dic10—41no—
527C2×Dic10—41no—
528C2×Dic10—41no—
529C2×Dic10—41no—
530C5×C4⋊C4—22no—
531C5×C4⋊C4—22no—
532C5×C4⋊C4—22no—
533C5×C4⋊C4—41no—
534C5×C4⋊C4—41no—
535C5×C22⋊C4—22no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—22no—
541C5×C22⋊C4—22no—
542C5×C22⋊C4—22no—
543C5×C22⋊C4—22no—
544C5×C22⋊C4—22no—
545C5×C22⋊C4—22no—
546C5×C22⋊C4—22no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4—41no—
549C5×C22⋊C4—41no—
550C5×C22⋊C4—41no—
551C42×C5—22no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—22no—
558C22⋊Dic5—22no—
559C22⋊Dic5—22no—
560C22⋊Dic5—22no—
561C22⋊Dic5—22no—
562C22⋊Dic5—22no—
563C22⋊Dic5—22no—
564C22⋊Dic5—22no—
565C22⋊Dic5—41no—
566C22⋊Dic5—41no—
567C22⋊Dic5C2×D414yes—
568C22⋊Dic5C2×D414yes—
569C22⋊Dic5#4114yes—
570#685—22no—
571#685—22no—
572#685—22no—
573#685—22no—
574#685—22no—
575#685—22no—
576#685—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—41no—
583#685—41no—
584#685—41no—
585#685—41no—
586#685—41no—
587#685—41no—
588C4⋊Dic5—22no—
589C4⋊Dic5—22no—
590C4⋊Dic5—22no—
591C4⋊Dic5—22no—
592C4⋊Dic5—22no—
593C4⋊Dic5—22no—
594C4⋊Dic5—22no—
595C4⋊Dic5—22no—
596C4⋊Dic5C2×D414yes—
597#683—22no—
598#683—22no—
599#683—22no—
600#683—22no—
601#683—22no—
602#683—22no—
603#683—22no—
604#683—22no—
605#683—22no—
606#683—22no—
607#683—22no—
608#683—22no—
609#683—41no—
610#683—41no—
611#683—41no—
612#683—41no—
613C4×Dic5—22no—
614C4×Dic5—22no—
615C4×Dic5—22no—
616C4×Dic5—22no—
617C4×Dic5—22no—
618C4×Dic5—22no—
619C4×Dic5—41no—
620C4×Dic5—41no—
621C4×Dic5—41no—
622C4×Dic5—41no—
623C4×Dic5—41no—
624C4×Dic5—41no—
625C4×Dic5—41no—
626C4×Dic5C2×D414yes—
627#539—108no—
628#538—108no—
629C2×#126—51no—
630C2×#126—51no—
631C2×#126—51no—
632C2×#126—51no—
633C2×#125—51no—
634C2×#125—51no—
635C2×#124—51no—
636C2×#124—51no—
637C2×#124—51no—
638C2×#123—51no—
639C2×#123—51no—
640C2×#123—51no—
641C2×#123—51no—
642C2×#123—51no—
643C2×#123—51no—
644C2×#123C2×D511yescharacteristic
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8—51no—
649C2×#121—51no—
650C2×#121—51no—
651C2×#121—51no—
652C2×#121—51no—
653C2×#121—51no—
654C2×#121—51no—
655C2×#120—51no—
656C2×#120—51no—
657C2×#120C2×D511yescharacteristic
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4—51no—
663C2×C4×D4C2×D511yescharacteristic
664C22×C4⋊C4—51no—
665C22×C22⋊C4—51no—
666C22×C22⋊C4—51no—
667C22×C22⋊C4C2×D511yescharacteristic
668C22×C42—51no—
669C22×C42—51no—
670#400—51no—
671#400—51no—
672#399—51no—
673#399—51no—
674#398—51no—
675#398—51no—
676#398—51no—
677#398—51no—
678#397—51no—
679#397—51no—
680#397—51no—
681#397—51no—
682#396—51no—
683#396—51no—
684#396C2×D511yescharacteristic
685#396C2×D511yescharacteristic
686#395—51no—
687#395—51no—
688#394—51no—
689#394—51no—
690#394—51no—
691#394—51no—
692#394—51no—
693#394—51no—
694#394C2×D511yescharacteristic
695#394C2×D511yescharacteristic
696#393—51no—
697#393—51no—
698#392—51no—
699#392—51no—
700#392—51no—
701#392—51no—
702#391—51no—
703#391—51no—
704#391—51no—
705#390—51no—
706#390—51no—
707#390—51no—
708#390—51no—
709#390—51no—
710#390—51no—
711#390—51no—
712#390—51no—
713#390—51no—
714#389—51no—
715#389—51no—
716#389—51no—
717#389—51no—
718#389—51no—
719#389—51no—
720#388—51no—
721#388—51no—
722#388—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#388—51no—
740#388—51no—
741#388—51no—
742#388—51no—
743#388—51no—
744#388C2×D511yescharacteristic
745#388C2×D511yescharacteristic
746#387—51no—
747#387—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386C2×D511yescharacteristic
759#386C2×D511yescharacteristic
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#382—51no—
765#381C2×D511yescharacteristic
766#380—51no—
767#380C2×D511yescharacteristic
768#379C2×D511yescharacteristic
769C4×C4⋊C4—51no—
770C4×C4⋊C4—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C22⋊C4—51no—
774C4×C22⋊C4—51no—
775C4×C22⋊C4—51no—
776C4×C22⋊C4—51no—
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4—51no—
780C4×C22⋊C4—51no—
781C2×#95—51no—
782C2×#95—51no—
783C43—51no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—21no—
796C23×C5—21no—
797C23×C5—21no—
798C23×C5—21no—
799C23×C5—21no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—44no—
809C23×C5—44no—
810C23×C5—44no—
811C23×C5—82no—
812C23×C5—82no—
813C23×C5—82no—
814C23×C5—82no—
815C23×C5C22×D412yes—
816C23×C5C22×D412yes—
817C23×C5C2×#4112yes—
818C23×C5C2×#4112yes—
819C23×C5C2511yescharacteristic
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C5×D4—28no—
835C5×D4—82no—
836C5×D4—82no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—44no—
868C2×C4×C5—44no—
869C2×C4×C5—44no—
870C2×C4×C5C22×D412yes—
871C2×C4×C5C2×#4112yes—
872C2×C4×C5C2×#4112yes—
873C22⋊D5—44no—
874C22⋊D5—44no—
875C22⋊D5—82no—
876C22⋊D5—82no—
877C22⋊D5—82no—
878C22⋊D5—82no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—44no—
917C2×Dic5—44no—
918C2×Dic5—44no—
919C2×Dic5—44no—
920C2×Dic5—82no—
921C2×Dic5—82no—
922C2×Dic5C22×D412yes—
923C2×Dic5C22×D412yes—
924C2×Dic5C22×D412yes—
925C2×Dic5C22×D412yes—
926C2×Dic5C2×#4112yes—
927C2×Dic5C2×#4112yes—
928C2×Dic5H(5,𝔽2)12yes—
929D20—44no—
930C4×D5—82no—
931C4×D5—82no—
932Dic10—82no—
933Dic10—82no—
934C25C22×D511yescharacteristic
935C22×Q8—51no—
936C22×Q8—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4—51no—
943C22×D4—51no—
944C22×D4—51no—
945C22×D4—51no—
946C22×D4C22×D511yescharacteristic
947C22×D4C22×D511yescharacteristic
948C22×D4C22×D511yescharacteristic
949C23×C4—51no—
950C23×C4—51no—
951C23×C4—51no—
952C23×C4—51no—
953C23×C4—51no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4C22×D511yescharacteristic
958C23×C4C22×D511yescharacteristic
959C23×C4C22×D511yescharacteristic
960#126—104no—
961#126—104no—
962#126—104no—
963#126—104no—
964#125—104no—
965#125—104no—
966#124—104no—
967#124—104no—
968#124—202no—
969#123—24no—
970#123—104no—
971#123—104no—
972#123—104no—
973#123—104no—
974#123—104no—
975#123—104no—
976C22⋊Q8—104no—
977C22⋊Q8—104no—
978C22⋊Q8—104no—
979C22⋊Q8—104no—
980#121—104no—
981#121—104no—
982#121—104no—
983#121—104no—
984#121—104no—
985#121—202no—
986#120—24no—
987#120—104no—
988#120—104no—
989C4×D4—24no—
990C4×D4—58no—
991C4×D4—104no—
992C4×D4—104no—
993C4×D4—104no—
994C4×D4—202no—
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4—51no—
1004C2×C4⋊C4—51no—
1005C2×C4⋊C4—51no—
1006C2×C4⋊C4—51no—
1007C2×C4⋊C4—51no—
1008C2×C4⋊C4—51no—
1009C2×C4⋊C4—51no—
1010C2×C4⋊C4—51no—
1011C2×C4⋊C4—51no—
1012C2×C4⋊C4—51no—
1013C2×C4⋊C4—51no—
1014C2×C4⋊C4—51no—
1015C2×C4⋊C4—51no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—51no—
1019C2×C4⋊C4—51no—
1020C2×C4⋊C4—104no—
1021C2×C4⋊C4C22×D511yescharacteristic
1022C2×C4⋊C4C22×D511yescharacteristic
1023C2×C4⋊C4C22×D511yescharacteristic
1024C2×C4⋊C4C22×D511yescharacteristic
1025C2×C4⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4—24no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—51no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—104no—
1064C2×C22⋊C4—202no—
1065C2×C22⋊C4C22×D511yescharacteristic
1066C2×C22⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4C22×D511yescharacteristic
1068C2×C22⋊C4C22×D511yescharacteristic
1069C2×C22⋊C4C22×D511yescharacteristic
1070C2×C22⋊C4C22×D511yescharacteristic
1071C2×C22⋊C4C22×D511yescharacteristic
1072C2×C22⋊C4C22×D511yescharacteristic
1073C2×C22⋊C4C22×D511yescharacteristic
1074C2×C22⋊C4C22×D511yescharacteristic
1075C2×C22⋊C4C22×D511yescharacteristic
1076C2×C22⋊C4C22×D511yescharacteristic
1077C2×C22⋊C4C22×D511yescharacteristic
1078C2×C22⋊C4C22×D511yescharacteristic
1079C2×C22⋊C4C22×D511yescharacteristic
1080C2×C22⋊C4C22×D511yescharacteristic
1081C2×C42—51no—
1082C2×C42—51no—
1083C2×C42—51no—
1084C2×C42—51no—
1085C2×C42—51no—
1086C2×C42—51no—
1087C2×C42—51no—
1088C2×C42—51no—
1089C2×C42—51no—
1090C2×C42—51no—
1091C2×C42—51no—
1092C2×C42—51no—
1093C2×C42—51no—
1094C2×C42—51no—
1095C2×C42—202no—
1096C2×C42—202no—
1097C2×C42C22×D511yescharacteristic
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95—51no—
1112#95—51no—
1113#95—51no—
1114#95—51no—
1115#95—51no—
1116#95—51no—
1117#95—51no—
1118#95—51no—
1119#95—51no—
1120#95—51no—
1121#95—51no—
1122#95—51no—
1123#95—51no—
1124#95C22×D511yescharacteristic
1125#95C22×D511yescharacteristic
1126#95C22×D511yescharacteristic
1127#95C22×D511yescharacteristic
1128#95C22×D511yescharacteristic
1129#95C22×D511yescharacteristic
1130C22×C5—22no—
1131C22×C5—22no—
1132C22×C5—22no—
1133C22×C5—22no—
1134C22×C5—22no—
1135C22×C5—22no—
1136C22×C5—22no—
1137C22×C5—22no—
1138C22×C5—22no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—41no—
1143C22×C5—41no—
1144C22×C5—41no—
1145C22×C5—41no—
1146C22×C5—41no—
1147C22×C5—41no—
1148C22×C5—41no—
1149C22×C5—41no—
1150C22×C5—41no—
1151C22×C5—41no—
1152C22×C5—41no—
1153C22×C5—41no—
1154C22×C5—41no—
1155C22×C5—41no—
1156C22×C5—41no—
1157C22×C5—88no—
1158C22×C5#53214yes—
1159C22×C5C23×D411yescharacteristic
1160C22×C5C22×#4111yescharacteristic
1161C22×C5C22×#4111yescharacteristic
1162C22×C5C2×H(5,𝔽2)11yescharacteristic
1163C22×C5#58511yescharacteristic
1164C22×C5#58511yescharacteristic
1165C22×C5#58511yescharacteristic
1166C2×D5—41no—
1167C2×D5—41no—
1168C2×D5—41no—
1169C2×D5—41no—
1170C2×D5—41no—
1171C2×D5—41no—
1172C2×D5—41no—
1173C2×D5—41no—
1174C2×D5—41no—
1175C2×D5—41no—
1176C2×D5—41no—
1177C2×D5—41no—
1178C2×D5—41no—
1179C2×D5—41no—
1180C4×C5—22no—
1181C4×C5—22no—
1182C4×C5—22no—
1183C4×C5—41no—
1184C4×C5—41no—
1185C4×C5—41no—
1186C4×C5—41no—
1187C4×C5—41no—
1188C4×C5—41no—
1189C4×C5—41no—
1190C4×C5—41no—
1191Dic5—22no—
1192Dic5—22no—
1193Dic5—22no—
1194Dic5—22no—
1195Dic5—22no—
1196Dic5—22no—
1197Dic5—22no—
1198Dic5—41no—
1199Dic5—41no—
1200Dic5—41no—
1201Dic5—41no—
1202Dic5—41no—
1203Dic5—41no—
1204Dic5—41no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—51no—
1213C24—51no—
1214C24C23×D511yescharacteristic
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—102no—
1219C2×Q8—102no—
1220C2×Q8—201no—
1221C2×Q8—201no—
1222C2×Q8—201no—
1223C2×Q8—201no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—102no—
1233C2×D4—102no—
1234C2×D4—102no—
1235C2×D4—102no—
1236C2×D4—102no—
1237C2×D4—102no—
1238C2×D4—102no—
1239C2×D4—102no—
1240C2×D4—102no—
1241C2×D4—102no—
1242C2×D4—102no—
1243C2×D4—102no—
1244C2×D4—102no—
1245C2×D4—201no—
1246C2×D4—201no—
1247C2×D4—201no—
1248C2×D4—201no—
1249C2×D4—201no—
1250C2×D4—201no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4D4×D514yes—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—51no—
1269C22×C4—51no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—51no—
1273C22×C4—51no—
1274C22×C4—51no—
1275C22×C4—54no—
1276C22×C4—54no—
1277C22×C4—51no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—102no—
1285C22×C4—102no—
1286C22×C4—102no—
1287C22×C4—102no—
1288C22×C4—102no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—201no—
1293C22×C4—201no—
1294C22×C4—201no—
1295C22×C4—201no—
1296C22×C4—201no—
1297C22×C4—201no—
1298C22×C4—201no—
1299C22×C4—201no—
1300C22×C4—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4#71114yes—
1307C22×C4C23×D511yescharacteristic
1308C22×C4C23×D511yescharacteristic
1309C22×C4C23×D511yescharacteristic
1310C22×C4C23×D511yescharacteristic
1311C22×C4C23×D511yescharacteristic
1312C22×C4C23×D511yescharacteristic
1313C22×C4C23×D511yescharacteristic
1314C22×C4C23×D511yescharacteristic
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—54no—
1324C4⋊C4—102no—
1325C4⋊C4—102no—
1326C4⋊C4—102no—
1327C4⋊C4—102no—
1328C4⋊C4—102no—
1329C4⋊C4—102no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—102no—
1333C4⋊C4—102no—
1334C4⋊C4—102no—
1335C4⋊C4—102no—
1336C4⋊C4—102no—
1337C4⋊C4—102no—
1338C4⋊C4—102no—
1339C4⋊C4—102no—
1340C4⋊C4—102no—
1341C4⋊C4—102no—
1342C4⋊C4—102no—
1343C4⋊C4—102no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C4⋊C4—201no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—54no—
1365C22⋊C4—54no—
1366C22⋊C4—54no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—102no—
1374C22⋊C4—102no—
1375C22⋊C4—102no—
1376C22⋊C4—102no—
1377C22⋊C4—102no—
1378C22⋊C4—102no—
1379C22⋊C4—102no—
1380C22⋊C4—102no—
1381C22⋊C4—102no—
1382C22⋊C4—102no—
1383C22⋊C4—102no—
1384C22⋊C4—102no—
1385C22⋊C4—102no—
1386C22⋊C4—102no—
1387C22⋊C4—102no—
1388C22⋊C4—102no—
1389C22⋊C4—102no—
1390C22⋊C4—102no—
1391C22⋊C4—102no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4—201no—
1399C22⋊C4—201no—
1400C42—22no—
1401C42—54no—
1402C42—102no—
1403C42—102no—
1404C42—102no—
1405C42—102no—
1406C42—102no—
1407C42—102no—
1408C42—201no—
1409C42—201no—
1410C42—201no—
1411C42—201no—
1412C42—201no—
1413C42—201no—
1414C42—201no—
1415C2×C5—24no—
1416C2×C5—42no—
1417C2×C5—81no—
1418C2×C5—81no—
1419C2×C5C2×#53211yescharacteristic
1420C2×C5#345511yescharacteristic
1421C2×C5#345911yescharacteristic
1422C2×C5#349611yescharacteristic
1423C2×C5#350011yescharacteristic
1424C2×C5#351311yescharacteristic
1425C2×C5#352111yescharacteristic
1426D5—81no—
1427D5—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—82no—
1456C23—82no—
1457C23—82no—
1458C23—82no—
1459C23—101no—
1460C23—101no—
1461C23—101no—
1462C23—101no—
1463C23—101no—
1464C23—101no—
1465C23—101no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—101no—
1470C23—101no—
1471C23—101no—
1472C23—101no—
1473C23C2×D4×D512yes—
1474C23C2×D4×D512yes—
1475C23C2×#71112yes—
1476C23D5×#4112yes—
1477C23C24×D511yescharacteristic
1478Q8—402no—
1479Q8—402no—
1480D4—28no—
1481D4—82no—
1482D4—82no—
1483D4—204no—
1484D4—204no—
1485D4—204no—
1486D4—402no—
1487D4—402no—
1488D4—402no—
1489D4—402no—
1490D4—402no—
1491D4—402no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—52no—
1526C2×C4—52no—
1527C2×C4—52no—
1528C2×C4—52no—
1529C2×C4—52no—
1530C2×C4—52no—
1531C2×C4—52no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—101no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—204no—
1570C2×C4—204no—
1571C2×C4—402no—
1572C2×C4—402no—
1573C2×C4—402no—
1574C2×C4—402no—
1575C2×C4C2×D4×D512yes—
1576C2×C4C2×#71112yes—
1577C2×C4C2×#71112yes—
1578C5#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—201no—
1608C22—201no—
1609C22—201no—
1610C22—201no—
1611C22—201no—
1612C22—201no—
1613C22—201no—
1614C22—201no—
1615C22—201no—
1616C22—201no—
1617C22—201no—
1618C22—201no—
1619C22—201no—
1620C22—201no—
1621C22#6593014yes—
1622C22C22×D4×D511yescharacteristic
1623C22C22×#71111yescharacteristic
1624C22C2×D5×#4111yescharacteristic
1625C22#6628311yescharacteristic
1626C22#6628311yescharacteristic
1627C22D5×H(5,𝔽2)11yescharacteristic
1628C22#6628511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—102no—
1641C4—102no—
1642C4—102no—
1643C4—102no—
1644C4—102no—
1645C4—102no—
1646C4—102no—
1647C4—201no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C4—201no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—401no—
1659C2—401no—
1660C2C2×#6593011yescharacteristic
1661C2#1061792011yescharacteristic
1662C2#1061819611yescharacteristic
1663C2#1061853311yescharacteristic
1664C2#1061856611yescharacteristic
1665C2#1061869711yescharacteristic
1666C2#1061870111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2534C2
hypercenter#2534D5
hypocenterC5#35009
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2534

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#65999C2semidirect
2. C2×#65927C2semidirect
3. C5×#2534C2semidirect
4. #10614578C2semidirect
5. #10614318C2semidirect
6. #10614111C2semidirect
7. C4×D4×Dic5C2semidirect
8. #10613846C2semidirect
9. C2×#65240C2semidirect
10. #10609076C2semidirect
11. #10609075C2semidirect
12. #10609040C2semidirect
13. #10609026C2semidirect
14. #10608729C2semidirect
15. #10608725C2semidirect
16. #10608671C2semidirect
17. #10608648C2semidirect
18. #10607552C2semidirect
19. #10607551C2semidirect
20. #10607334C2semidirect
21. #10607332C2semidirect
22. #10606603C2semidirect
23. #10606600C2semidirect
24. #10606492C2semidirect
25. #10606490C2semidirect
26. #10605807C2semidirect
27. #10605787C2semidirect
28. #10605669C2semidirect
29. #10605596C2semidirect
30. #10605560C2semidirect
31. #10605552C2semidirect
54. C22×C4×Dic5C22semidirect
57. C2×#4044C22semidirect
58. C2×#4043C22semidirect
59. C2×#4039C22semidirect
60. C2×#4036C22semidirect
61. C2×#4035C22semidirect
62. C2×#4032C22semidirect
66. C2×#4029C22semidirect
71. C2×#4025C22semidirect
74. C2×#4024C22semidirect
89. #65502C22semidirect
90. #65502C22semidirect
92. C4×C22⋊Dic5C22semidirect
95. #65283C22semidirect
96. #65280C22semidirect
97. #65279C22semidirect
98. #65277C22semidirect
99. #65273C22semidirect
100. #65273C22semidirect
101. #65273C22semidirect
102. #65272C22semidirect
103. #65268C22semidirect
104. #65268C22semidirect
105. C4⋊C4×Dic5C22semidirect
106. C4⋊C4×Dic5C22semidirect
107. C4⋊C4×Dic5C22semidirect
108. #65262C22semidirect
109. #65261C22semidirect
114. #65249C22semidirect
116. #65248C22semidirect
121. #65247C22semidirect
132. #65242C22semidirect
134. #65241C22semidirect
156. #65231C22semidirect
159. C22⋊C4×Dic5C22semidirect
160. C22⋊C4×Dic5C22semidirect
161. #65229C22semidirect
162. #65229C22semidirect
163. C4×C4⋊Dic5C22semidirect
164. C42×Dic5C22semidirect
165. #64964C22semidirect
166. #64962C22semidirect
167. #64959C22semidirect
168. #64959C22semidirect
169. #64959C22semidirect
170. #64958C22semidirect
171. #64958C22semidirect
172. #64958C22semidirect
173. #64957C22semidirect
174. #64957C22semidirect
175. #64955C22semidirect
176. #64955C22semidirect
177. #64949C22semidirect
178. #64947C22semidirect
179. #64944C22semidirect
180. #64944C22semidirect
181. #64939C22semidirect
182. #64936C22semidirect
183. #64936C22semidirect
184. #64936C22semidirect
185. #64936C22semidirect
186. #64935C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
272. D4×Dic5D4semidirect
403. #2534D5semidirect
1578. C5#35009semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#659992
C2×#659272
C5×#25342
#106145782
#106143182
#106141112
C4×D4×Dic52
#106138462
C2×#652402
#106090762
#106090752
#106090402
#106090262
#106087292
#106087252
#106086712
#106086482
#106075522
#106075512
#106073342
#106073322
#106066032
#106066002
#106064922
#106064902
#106058072
#106057872
#106056692
#106055962
#106055602
#106055522
#350095